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Finding the Fourth Proportional to 51,164.57, 70,587.70 and 31,014.10

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Solution

The fourth proportional to 51,164.57, 70,587.70 and 31,014.10 is: 42,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164.57 : 70,587.70 = 31,014.10 : x
  2. Step 2: Convert to fraction form
    51,164.57/70,587.70 = 31,014.10/x
  3. Step 3: Cross multiply
    51,164.57x = 70,587.70 × 31,014.10
  4. Step 4: Simplify right side
    51,164.57x = 2,189,214,113.57
  5. Step 5: Solve for x
    x = 2,189,214,113.57/51,164.57
  6. Step 6: Final answer
    x = 42,787.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.